Some naturally ocurring examples of A-infinity bialgebras

Mathematics – Algebraic Topology

Scientific paper

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Version 5 corrects section 4, and improves the maths explanations in different sections

Scientific paper

Let p be an odd prime. When n>2, we show that each tensor factor of form E
\otimes \Gamma in H(Z,n;Z_p) is an A-infinity bialgebra with non-trivial
structure. We give explicit formulas for the structure maps and the quadratic
relations among them. Thus E \otimes \Gamma is a naturally occurring example of
an A-infinity bialgebra whose internal structure is well-understood.

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